Convex combinations of completely positive (CP) as well as CP-divisible, continuous time dynamical maps arising from collision models are investigated. While the individual maps are both CP and Markovian we find that convex combinations remain CP but not necessarily Markovian. Examples of such combinations for qubit dynamical maps arising from collisional models are worked out and the invertibility, CP-divisibility, P-divisibility as well as Markovian properties of such maps are explored.

中文翻译：

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碰撞模型中的非马尔可夫开放动力学

研究了由碰撞模型产生的完全正 (CP) 以及 CP 可分的连续时间动态图的凸组合。虽然各个映射都是 CP 和 Markovian，但我们发现凸组合仍然是 CP，但不一定是 Markovian。计算了碰撞模型产生的量子比特动力学映射的这种组合的例子，并探索了这些映射的可逆性、CP 可分性、P 可分性以及马尔可夫特性。